Temat: równanie całkowe - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: An operational Haar wavelet method for solving fractional Volterra integral equations
Autorzy:: Saeedi, H.
Mollahasani, N.
Mohseni Moghadam, M.
Chuev, G. N.
Powiązania:: https://bibliotekanauki.pl/articles/907499.pdf
Data publikacji:: 2011
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: równanie całkowe
równanie całkowe Abela
rachunek ułamkowy
macierz operacyjna
fractional Volterra integral equation
Abel integral equation
fractional calculus
Haar wavelet method
operational matrices
Opis:: A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 535-547
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Optimal Shape Design for Elliptic Equations Via Bie-Methods
Autorzy:: Eppler, K.
Powiązania:: https://bibliotekanauki.pl/articles/911209.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: rozwiązanie podstawowe
równanie całkowe
optimal shape design
fundamental solution
boundary integral equation
first-order necessary condition
Opis:: A special description of the boundary variation in a shape optimization problem is investigated. This, together with the use of a potential theory for the state, result in natural embedding of the problem in a Banach space. Therefore, standard differential calculus can be applied in order to prove the Frechet-differentiability of the cost function for appropriately chosen data (sufficiently smooth). Moreover, necessary optimality conditions are obtained in a similar way as in other approaches, and are expressed in terms of an adjoint state for more regular data.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 487-516
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Cellular Automata and Many-Particle Systems Modeling Aggregation Behavior Among Populations
Autorzy:: Morale, D.
Powiązania:: https://bibliotekanauki.pl/articles/929762.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: równanie różniczkowe stochastyczne
równanie różniczkowo-całkowe
cellular automata
individual-based models
stochastic differential equations
law of large numbers
density dependence
nonlinear integrodifferential equations
Opis:: A cellular automaton model is presented in order to describe mutual interactions among the individuals of a population due to social decisions.The scheme is used for getting qualitative results, comparable to field experiments carried out on a population of ants which present an aggregative behavior. We also present a second description of a biological spatially structured population of N individuals by a system of stochastic differential equations of Ito type. A 'law of large numbers' to a continuum dynamics described by an integro-differential equation is given.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 157-173
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
Autorzy:: Shiri, B.
Shahmorad, S.
Hojjati, G.
Powiązania:: https://bibliotekanauki.pl/articles/330726.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: piecewise continuous collocations methods
Volterra integral equations
integral algebraic equations
równania całkowe Volterry
równanie algebraiczne
Opis:: In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical experiments are provided to support the theoretical results.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 341-355
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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